Energy Structure of a Finite Haldane Chain in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Y</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>BaNi</mml:mi><mml:mn>0.96</mml:mn></mml:msub><mml:msub><mml:mi>Mg</mml:mi><mml:mn>0.04</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math>Studied by High Field Electron Spin Resonance

Yoshida, Makoto; Shiraki, Kosuke; Okubo, Susumu; Ohta, H.; Ito, T.; Takagi, H.; Kaburagi, Makoto; Ajiro, Yoshitami

doi:10.1103/physrevlett.95.117202

Cited by 32 publications

(20 citation statements)

References 31 publications

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“…With only nearest-neighbor interactions (α → ∞), H ∞ = H ∞ is usually called the Haldane chain, which has been extensively studied theoretically [51][52][53] , numerically [54][55][56][57][58] , and experimentally 59,60 . The low-lying states of the Haldane chain are shown in Fig.…”

mentioning

confidence: 99%

Topological phases with long-range interactions

Gong

Maghrebi

et al. 2016

Phys. Rev. B

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Topological phases of matter are primarily studied in systems with short-range interactions. In nature, however, nonrelativistic quantum systems often exhibit long-range interactions. Under what conditions topological phases survive such interactions, and how they are modified when they do, is largely unknown. By studying the symmetry-protected topological phase of an antiferromagnetic spin-1 chain with 1/rα interactions, we show that two very different outcomes are possible, depending on whether or not the interactions are frustrated. While unfrustrated long-range interactions can destroy the topological phase for α ≲ 3, the topological phase survives frustrated interactions for all α > 0. Our conclusions are based on strikingly consistent results from large-scale matrix-product-state simulations and effective-field-theory calculations, and we expect them to hold for more general interacting spin systems. The models we study can be naturally realized in trapped-ion quantum simulators, opening the prospect for experimental investigation of the issues confronted here.

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confidence: 99%

Topological phases with long-range interactions

Gong

Maghrebi

et al. 2016

Phys. Rev. B

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“…We should point out that ESR measurements in the submillimeter wave region enabled us to obtain such a beautiful result. Detailed analyses of our observed frequency-field dependence using the effective Hamiltonian shows N (chain length) dependence of y(N), which is the scaling factor for the effective single ion anisotropy parameters D and E [1]. The obtained y(N) from our experiment suggests longer correlation length than the theoretically expected value of 6 sites.…”

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confidence: 55%

“…We have succeeded in obtaining the information about the correlation length in Y2BaNio.96Mg0.0405 [1] and the result will be presented. crystal of Y2BaNio.96Mg0.0405 have been performed in the frequency range from 40 to 372 GHz using the pulsed magnetic field up to 15 T [2].…”

mentioning

confidence: 94%

Submillimeter Wave ESR Measurement of a Finite Haldane Chain System Y2BaNi0.96Mg0.04O5

Ohta

Yoshida

Okubo

et al. 2006

2006 Joint 31st International Conference on Infrared Millimeter Waves and 14th International Conference on Teraherz Electronics

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The edge states in the finite S=1 Haldane chain are expected to have different energy structures depending on the chain length due to the interaction through the finite chain. Electron spin resonance (ESR) signals coming from the finite chains with various chain length have been observed separately in Y2BaNio.96Mg0.0405, which is a famous Haldane system doped with non-magnetic ions, due to the high spectral resolution of our submillimeter wave ESR. From the analysis, the information about the correlation length in the Haldane system at low temperature has been obtained directly by the experiment for the first time.

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“…This kind of ESR spectroscopy has a broad range of applications in solid-state physics, material science, and chemistry (see for instance Ref. [1,2,3,4,5,6,7,8]). …”

Section: Introductionmentioning

confidence: 99%

Terahertz-range free-electron laser electron spin resonance spectroscopy: Techniques and applications in high magnetic fields

Zvyagin

Ozerov

Čižmár

et al. 2009

Review of Scientific Instruments

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The successful use of picosecond-pulse free-electron-laser (FEL) radiation for the continuous-wave THz-range electron spin resonance (ESR) spectroscopy has been demonstrated. The combination of two linac-based FELs (covering the wavelength range of 4 -250 µm) with pulsed magnetic fields up to 70 T allows for multi-frequency ESR spectroscopy in a frequency range of 1.2 -75 THz with a spectral resolution better than 1%. The performance of the spectrometer is illustrated with ESR spectra obtained in the 2,2-diphenyl-1-picrylhydrazyl (DPPH) and the low-dimensional organic material (C6H9N2)CuCl3.

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Energy Structure of a Finite Haldane Chain inY2BaNi0.96Mg0.04O5Studied by High Field Electron Spin Resonance

Cited by 32 publications

References 31 publications

Topological phases with long-range interactions

Topological phases with long-range interactions

Submillimeter Wave ESR Measurement of a Finite Haldane Chain System Y2BaNi0.96Mg0.04O5

Terahertz-range free-electron laser electron spin resonance spectroscopy: Techniques and applications in high magnetic fields

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